Details

sample139.0ms

Algorithm

intervals

Results

57.0ms	859×	body	80	nan
17.0ms	257×	body	80	valid
0.0ms	1×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2128
4	480
3	114
2	48
1	20
0	10

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (log y)) y)
0.0b	(- (- (* x (log y)) y) z)
0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.2b	(* x (log y))

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate--l+`
27×	`log-prod`
25×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-log-exp`
15×	`add-cube-cbrt`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-+l+`
9×	`pow1`
7×	`diff-log`
6×	`add-cbrt-cube` `add-exp-log`
5×	`sub-neg`
4×	`associate-r` `distribute-lft-out`
3×	`associate-+r+` `sum-log` `associate-l` `log-pow` `distribute-lft-out--`
2×	`flip3--` `flip--`
1×	`associate--l-` `+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

7.0ms	(- (* x (log y)) y)
45.0ms	(- (- (* x (log y)) y) z)
178.0ms	(+ (- (- (* x (log y)) y) z) (log t))
7.0ms	(* x (log y))

series247.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (* x (log y)) y)
51.0ms	(- (- (* x (log y)) y) z)
77.0ms	(+ (- (- (* x (log y)) y) z) (log t))
51.0ms	(* x (log y))

simplify743.0ms

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1481
1	391
0	167

prune650.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.2b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`associate-+l+` `*-un-lft-identity` `add-cube-cbrt`
12×	`associate-+r+`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

23.0ms	(* x (log (cbrt y)))
28.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series833.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* x (log (cbrt y)))
145.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
281.0ms	(cbrt y)
286.0ms	(cbrt y)

simplify897.0ms

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	1755
1	423
0	157

prune904.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 2 (log (pow (/ 1 y) -1/3))))
0.2b	(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
5.0b	(pow (/ 1 y) -1/3)

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

148×	`log-prod`
142×	`distribute-rgt-in` `distribute-lft-in`
117×	`unpow-prod-down`
82×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
81×	`times-frac`
68×	`associate-+l+`
14×	`add-exp-log`
12×	`associate-+r+`
11×	`pow1`
9×	`cbrt-prod` `add-cbrt-cube` `div-inv` `sqr-pow`
6×	`add-log-exp`
4×	`pow-exp`
3×	`pow-unpow` `pow-pow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`div-exp`
1×	`pow-to-exp` `+-commutative` `rec-exp` `sum-log` `flip3-+` `pow1/3` `1-exp` `associate-r` `*-commutative` `flip-+` `pow-flip` `distribute-lft-out` `inv-pow`

Counts

4 → 221

Calls

4 calls:

47.0ms	(* x (* 2 (log (pow (/ 1 y) -1/3))))
66.0ms	(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
10.0ms	(pow (/ 1 y) -1/3)

series979.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* x (* 2 (log (pow (/ 1 y) -1/3))))
238.0ms	(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* x (log (cbrt y))))
300.0ms	(cbrt y)
282.0ms	(pow (/ 1 y) -1/3)

simplify1.5s

Counts

233 → 233

Iterations

Iter	Nodes
done	5001
2	3101
1	1123
0	428

prune1.5s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`

Counts

4 → 47

Calls

4 calls:

1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

381.0ms	(cbrt (cbrt y))
304.0ms	(cbrt y)
255.0ms	(cbrt y)
294.0ms	(cbrt y)

simplify2.0s

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
4	2510
3	650
2	189
1	77
0	42

prune550.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes820.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	28
1	28
0	20

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.3s	24568×	body	80	nan
782.0ms	8027×	body	80	valid
0.0ms	1×	body	640	valid